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Finding the Fourth Proportional to 429.05, 642.96 and 197.36

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Solution

The fourth proportional to 429.05, 642.96 and 197.36 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 642.96 = 197.36 : x
  2. Step 2: Convert to fraction form
    429.05/642.96 = 197.36/x
  3. Step 3: Cross multiply
    429.05x = 642.96 × 197.36
  4. Step 4: Simplify right side
    429.05x = 126,891.37
  5. Step 5: Solve for x
    x = 126,891.37/429.05
  6. Step 6: Final answer
    x = 295.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.